Quiz about Permutations Combinations and Fundamental Counting Principle

Question 1

How many ways can you arrange the letters in the word FACTOR?

Accepted Answer

₆P₆=720

Answer

6C6=1

Answer

6 x 5 = 30

Answer

120 ways

Question 2

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans.

Accepted Answer

₁₅C₂=105

Answer

₁₅P₂=210

Answer

15 x 2 = 30

Answer

100 ways

Question 3

How many ways can 5 books be arranged on a shelf?

Accepted Answer

120

Answer

10

Answer

1

Answer

5

Question 4

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

Accepted Answer

60

Answer

180

Answer

23

Answer

12

Question 5

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips, salad, and beverage can be ordered?

Accepted Answer

270

Answer

30

Answer

17

Answer

90

Question 6

What is the probability of flipping a coin and getting heads?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

Never, Tails never fails.

Question 7

Find the theoretical probability of NOT landing on yellow if you spin the spinner.

Accepted Answer

7/8

Answer

1/8

Answer

1

Answer

7

Question 8

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

Accepted Answer

5/11

Answer

5/6

Answer

1/3

Answer

5

Question 9

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

Accepted Answer

tree diagram

Answer

fundamental counting principle

Answer

experimental probability

Answer

theoretical probability

Question 10

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

Accepted Answer

combination

Answer

permutation

Answer

neither

Question 11

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

Accepted Answer

permutation

Answer

combination

Answer

neither

Question 12

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

Accepted Answer

combination

Answer

permutation

Answer

neither

Question 13

Which of the following is an example of combination?

Accepted Answer

Choose 4 students in a class committee

Answer

Form a passcode with 4 digits

Answer

Students line up in a queue to assembly

Answer

Choose the chairperson, secretary and treasurer in a club

Question 14

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

Accepted Answer

permutation

Answer

combination

Answer

neither

Question 15

Permutation, combination, or neither?
You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?

Accepted Answer

permutation

Answer

combination

Answer

neither

Question 16

What is the value of 8!

Accepted Answer

40320

Answer

36

Answer

362880

Answer

5040

Question 17

Find the number of possibilities:
A group of 25 people are going to run a race. The top 8 finishers advance to finals.

Accepted Answer

1,081,575

Answer

625

Answer

4.36 X 10¹⁰

Question 18

Choosing 3 toppings for your sundae out of a list of 15.

Accepted Answer

Combination

Answer

Permutation

Answer

Neither

Question 19

Picking a President, Vice-President, and Secretary from a group of 12.

Accepted Answer

Permutation

Answer

Combination

Answer

Neither

Question 20

Ambry must submit 4 paintings as part of her
application to art school. If she has 25 to choose from, how many ways can she pick 4?

Accepted Answer

12,650

Answer

303,600

Answer

100

Answer

254

Question 21

How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?

Accepted Answer

6720

Answer

672

Answer

40

Question 22

In how many ways can you select 4 volunteers out of 10?

Accepted Answer

210

Answer

120

Answer

260

Answer

360

Question 23

7!

Accepted Answer

5040

Answer

4050

Answer

5400

Answer

4500

Question 24

4!

Accepted Answer

24

Answer

42

Answer

23

Answer

35

Question 25

How many 3-digit area codes are possible if the first number can only be a 2, 7 or 5?

Accepted Answer

300

Answer

70

Answer

30

Answer

7

Question 26

What is the value of ₅P₂?

Accepted Answer

20

Answer

60

Answer

10

Answer

15

Question 27

What is the value of 8!

Accepted Answer

40320

Answer

36

Answer

362880

Answer

5040

Question 28

What is the value of 5!

Accepted Answer

120

Answer

25

Answer

15

Answer

720

Question 29

What does ₁₀P₅mean?

Accepted Answer

Permutations with 10 choices and 5 positions

Answer

Permutations with 5 choices and 10 positions

Answer

Permutations with 5 numbers and 10 operations

Answer

Permutations with 5 hot dogs and 10 drinks

Question 30

What does the P stand for in _nP_r?

Accepted Answer

Permutations

Answer

Partners

Answer

Positions

Answer

Papers

Question 31

Is the order of arrangement important?
A group of nine people consists of three girls, five boys and a man. The nine people are seated randomly in a row. Find number of ways if the three girls are seated together.

Accepted Answer

Yes

Answer

No

Question 32

3P2

Accepted Answer

6

Answer

5

Answer

1

Answer

0

Question 33

4C2

Accepted Answer

6

Answer

5

Answer

1

Answer

0

Question 34

P(7,3)

Accepted Answer

210

Answer

42

Answer

12

Answer

35

Question 35

C(7, 5)

Accepted Answer

21

Answer

2

Answer

35

Answer

30

Question 36

7P4

Accepted Answer

840

Answer

35

Answer

28

Answer

3

Question 37

C(10, 2)

Accepted Answer

45

Answer

110

Answer

90

Answer

20

Question 38

If there are 31 students in Mr. Groeneveld's geometry class how many different groups of two students can be randomly thrown out of class?  Choose the correct method to solve.

Accepted Answer

C(31, 2)

Answer

P(31, 2)

Answer

31 x 2

Answer

312

Question 39

How many license plates can be made if there must be three letters followed by three digits.

Accepted Answer

17,576,000

Answer

108

Answer

16,678,000

Answer

100,000,000

Question 40

How many possible outcomes are there for rolling 3 dice?

Accepted Answer

6 x 6 x 6 = 216

Answer

3 x 6 = 18

Answer

3 x 3 x 3 = 27

Answer

6 outcomes

Question 41

How many possible outcomes are there for tossing 3 coins?

Accepted Answer

8

Answer

2

Answer

6

Answer

4

Question 42

Which is a factorial?

Accepted Answer

3!

Answer

3a

Answer

3?

Answer

3*

Question 43

6!

Accepted Answer

720

Answer

6

Answer

46656

Answer

21

Question 44

10!

Accepted Answer

3,628,800

Answer

3,225,100

Answer

4,862,870

Answer

4,750,000

Question 45

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

Accepted Answer

12

Answer

90

Answer

100

Answer

24

Question 46

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

Accepted Answer

504

Answer

84

Answer

9!

Answer

3!

Question 47

How would you solve?
A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

Accepted Answer

Combination

Answer

Permutation

Answer

Factorial

Answer

MPC

Question 48

4000-254

Accepted Answer

3746

Answer

4254

Answer

659

Answer

3956

Permutations Combinations and Fundamental Counting Principle

50 questions

How many ways can you arrange the letters in the word FACTOR?

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans.

How many ways can 5 books be arranged on a shelf?

At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips, salad, and beverage can be ordered?

What is the probability of flipping a coin and getting heads?

Find the theoretical probability of NOT landing on yellow if you spin the spinner.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

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Permutations Combinations and Fundamental Counting Principle

50 questions

How many ways can you arrange the letters in the word FACTOR?

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans.

How many ways can 5 books be arranged on a shelf?

At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips, salad, and beverage can be ordered?

What is the probability of flipping a coin and getting heads?

Find the theoretical probability of NOT landing on yellow if you spin the spinner.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

Permutation, combination, or neither?Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.